{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"1152\" height=\"648\" controls autoplay loop>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAABO9m1kYXQAAAKgBgX//5zcRem9\n",
       "5tlIt5Ys2CDZI+7veDI2NCAtIGNvcmUgMTUyIC0gSC4yNjQvTVBFRy00IEFWQyBjb2RlYyAtIENv\n",
       "cHlsZWZ0IDIwMDMtMjAxNyAtIGh0dHA6Ly93d3cudmlkZW9sYW4ub3JnL3gyNjQuaHRtbCAtIG9w\n",
       "dGlvbnM6IGNhYmFjPTEgcmVmPTMgZGVibG9jaz0xOjA6MCBhbmFseXNlPTB4MzoweDExMyBtZT1o\n",
       "ZXggc3VibWU9NyBwc3k9MSBwc3lfcmQ9MS4wMDowLjAwIG1peGVkX3JlZj0xIG1lX3JhbmdlPTE2\n",
       "IGNocm9tYV9tZT0xIHRyZWxsaXM9MSA4eDhkY3Q9MSBjcW09MCBkZWFkem9uZT0yMSwxMSBmYXN0\n",
       "X3Bza2lwPTEgY2hyb21hX3FwX29mZnNldD0tMiB0aHJlYWRzPTEgbG9va2FoZWFkX3RocmVhZHM9\n",
       "MSBzbGljZWRfdGhyZWFkcz0wIG5yPTAgZGVjaW1hdGU9MSBpbnRlcmxhY2VkPTAgYmx1cmF5X2Nv\n",
       "bXBhdD0wIGNvbnN0cmFpbmVkX2ludHJhPTAgYmZyYW1lcz0zIGJfcHlyYW1pZD0yIGJfYWRhcHQ9\n",
       "MSBiX2JpYXM9MCBkaXJlY3Q9MSB3ZWlnaHRiPTEgb3Blbl9nb3A9MCB3ZWlnaHRwPTIga2V5aW50\n",
       "PTI1MCBrZXlpbnRfbWluPTIwIHNjZW5lY3V0PTQwIGludHJhX3JlZnJlc2g9MCByY19sb29rYWhl\n",
       "YWQ9NDAgcmM9Y3JmIG1idHJlZT0xIGNyZj0yMy4wIHFjb21wPTAuNjAgcXBtaW49MCBxcG1heD02\n",
       "OSBxcHN0ZXA9NCBpcF9yYXRpbz0xLjQwIGFxPTE6MS4wMACAAAAYP2WIhAA7//73Tr8Cm0WXagOS\n",
       "Vwr2yqQmWblSawHypgAAAwAAAwAAAwAAAwAp7ZCiFafTJvTQAAADAAAXoABTgAI2r75wiR/AA1kO\n",
       "Jtf5fes7iT9VlkePmHSNtbLgSwqbfagyBG/wBAABOcUVaGkbqSK/aXflZDL7jx+MLzB9z8L7JXNC\n",
       "d05XmXTA3xYgAABqtXHJ+/6sHBzKHj2AAAB3LtjjRi5OqvKxmVWrnIL9GkIcHABYw+ek3fgvYao4\n",
       "VDPttgDY00S9BytWYsln6lvlTHQ13mAAHzLdXI58uv2wFtPQa9jummuooLfFXMA/nRqc26DzzenS\n",
       "AQE6Zue29+UKnBHAAIwQACAgAvgAV4AKEGV1nP0GzklnVBxdzNenU5CBk5OhId8JjTm3Uy5p+AN3\n",
       "zfDX+Pv97hH+B8QNEAlySSwiQofu9WlWoopD1HnWd6HT/LD22aM37o6ZoAeP1GDDDI29dOGbvaoy\n",
       "etSrsLlwHR9P51IVe+ySDLKWPnld81MLXyqvcg7gJMNxFBfYJxPf+HX+WiCShvDlgF3OdCQ/uiQB\n",
       "Ra7DiVOKJ2wmOFOqfMwUvN7xUptEbVpQu/SBxcOubEo8FS9q7/KO7XD9OSytBAuPBvYJBnRQpIOe\n",
       "gCSSLqn2+WeTXWwposZkdCgWR16c6fXbzKaCjhdq05RQoY67K4eObB2KM4LDU64d4iv94L1l7g7l\n",
       "c540I5rv8blKxA+2IZDLAhP7K3xQ1Jv2OaOgOqly54ve8KI/74i+gw9hnKz2vgmHvvujshqqFPgK\n",
       "4GAVP2bhbZ1pUyKVBxAYcRQ2CLEKjzgk2WXc+VLHAJrrlEtc+T5FyyU9hBQmVa3hcnWLQVHqNZP9\n",
       "DUgOsZPU+gSn6d61+D/VFAUZ2Ve6K1ZGMvfmyxFpVZrbdeOba4Cpi9Wae+4x2uI8B3NjAb0RNrA/\n",
       "tc56pBo2dG1ZUJXQo+KmuN650zVxhlBGrG3jkXr4DUhG6qE2NxR8Y6Y+ssSgzyHpQbpIEvrzLQvE\n",
       "YSOW0axCokTk6Bs+1xBlpfDpI/N4jXN6ESVlWGVuOFvNK+E7cZjZt0eUW2JBSVW7ePduyzRH3V3k\n",
       "p7epJ0Gm24ZkjwNpRX2DBJ8vvgrXkQcgO3Gl1pArMNZxYGjTQl9+7oKA6mB55DoyIRNw4HPv91eG\n",
       "EAZuXXpf4eK3z1H8faAqOQFd5pyrTkxckKSG5cXZ6q5Qrc+ZLGCDLfTaymu1KJccNuqoHm0pQ07x\n",
       "gFSdauqkW0HMrOONpbcGxofc+n2gEpqGKx9DjgAwik65Lt7nuqiYIciKpmqVgA6F7FdX9tV/jptd\n",
       "K7pYFebScAuL5rZEG9AqJkj4Y09Y/4f82Xfs9/TZjsLbpKH9gHVqnHHOLYa2aPRDDATT/3aYCysN\n",
       "pojISjb/Vzov12HbhfRudEsaGyROJ3UpkPhyunUR/zVYremmr6e6oF1YX9YjwJCjUKcCVSw2ryNj\n",
       "SLtETMEM2BriPZZN1NhJGzL3V/mMo4ptBgu0d4aGJe4HYCi1XosejEW1H+bsqzv5JJAc9dINj+XJ\n",
       "gDSDC8rfeDxhsgbI7wAbiFadiaWVVyV0/PmyIsM2j/jgMqd4xpg1OufLd7aN6MMxrUAQNn+IQJ22\n",
       "cHys2ER1yXpriRdx8vo8iBd7BQTSySRJS2Y9V4bUSC5qyiZiH6xYxpQS+/b2291E+4G5LN/znOeD\n",
       "vlr40YKhJu+c5AooD9dkO6GDPJMQd/kGhAnDhnS7mBlagl8JFMSQn6yXEaRscPq5p8FiyYiLQFre\n",
       "fHQiHm2VHidZDEj7lvX8otS6eWd4HToNGe9hfEdn87xLFGU1vNjBLH0klMbEwmy5cw9Ko2x6xpDh\n",
       "Ef/O05eoFkx0GbRsI2hG1YobTPuxL0bqkeZ2x08CuxeDE9hLN11/qUcAAAkaLPvuixcoOSDY4G9I\n",
       "VBlXux3YGyhVzyr28F0LItVhKA84ag5ho7yp2uBTSnfc87pjxdmfYvwVmAJlT8KFjf1KwDXwAU+R\n",
       "wmARQMLVrijIa6qW56j5bFuRQi/SbymLYZqajQ/nop4maqwaflBOSjKKpIWf95/5z3ZN5jcqWpoy\n",
       "QfqIdiXycI5W0NcfpZav6Q/vWcR1cxmJTfT2AjuluV3pS9fUccFzJ+SXWj12gGJktUegswV3/wY+\n",
       "oRtHb3Lo0iExuANLFOA3pV1eEss8iQnr573v19X+MqIagxTW/5A0p68JLdGB/y7SUOaduW8cwjNb\n",
       "Se5gEatxJl6cO/sK3nIaPl3KnMGPpEuiAApypdtxa4k46Di0TI12azHJJCoindOFYvBQnqpjm+fL\n",
       "jRujcOne1UjsAuN8czzGrSCZ/OF0sy298Suu1J1f52DzYI208CjltYE7v1Zx74dweB8cqvLbFkgh\n",
       "XqWtfVkauDiDQkjpNywADMWZyqTGo3QF86AzUZdT7NRwHtyh3kgp2QnIRLm6vH/JIX/enbaU6Bzm\n",
       "ctyr/yMbt96lJgoS0XwoLP7KZE0IV3zZKbZysnaQh7pHhrfvUxNwLr7MiLBNNBh91anlbZL0axXD\n",
       "A5LYUOFklOOuw1UKh0Whw2eS7Amevz608hwbqbrrDbEl8lO2LcRh1U5lhIvm9F5VQpuOasmOWiwd\n",
       "4uX7Shuu9kGhQI4WpGE3rG9qu6ucvn1Xku+qYYG01dfgXnx/rJR7H7Bnu5+qcihuM35qOT/uus4N\n",
       "cdQLzfIzoBhS07OnXuRHXSdYh35U2AD6J+23bxl7vsK8dfK9LLrSO8Wtb4lD/NIPJlL7/UC/DJmn\n",
       "Y6h+V5vVbwyVmI25Yp22aI62fhAtvSR1nplzUQ7ELWegaJzFy4BWyXi2S+SXOi9tCtfdqmwXyCVs\n",
       "fdml9FGkVOe4XhrACHOOKK71WzWUC0iuPq8mtUbcdZ56zamc5mkpjUZP255WeOJUEoDxFt3mL6aA\n",
       "7/sDTesJ5X7PBmKMMrZ2+4n9nYbY9H/VNYfdFpRe9DiCkBpd5UBdXQMorye2bfaPCxPHJoGzB35f\n",
       "oZYE6wy2qbOAert1oNb76fGoVnTmb3bUql+/kAbh1vohV/sa8LpsN2hUoX5GJM6PuEagvPmD/RJo\n",
       "jDW+5nR8R9+2VGZPwwzo60xItDLDvhiRrtlzFEUfXiYZcQZnvg17y249QAz/iAC14r8hDun4vSrk\n",
       "566TcFOtrOFnaaJGf4KIPAk8Usa6bk1V6lMvEPQLNty6zFDb5ddciy6RD0n8ZsrQccgZRdbQdeb6\n",
       "0LneSK7eFti9R3OFQaycck4gDXDQK6rKTwABIwzBEFppntP8Esz4EjpsnMXOD5+iuzKiDPYTRMoJ\n",
       "r5hYttgBOFdsvms9eIgOHs2aHxJ7HLV3rz1df/SaCyNHjN+z7FI6KrOJA4SZ9N6+txKmTzCCkiV3\n",
       "1OlJSAKpCa4w21NBT0jWZxx4rBdRqjoGGEXmztGXye7FrfF4dO6hNQlA8wOyxK/q6FtNEX7kPK4A\n",
       "CFysBgbsRROTIqdcXlawQL+4Q0ncw/wL+k5Zle2HCWC4wNmpdRQpk/dg/Lrd2oNpI9ckt4iLjDTW\n",
       "9F0IIcoBT6Tkb8owQcPkE8k0k22RG8wNX2fRRu7bbthrXbFi3QGMN169Nd2+XDvgAOfcGVaINlUs\n",
       "/R2KSeny6miT6XC/mLIv0BrTH6wLYGglkC/128Huv/XEx094Jjly9HT7KLrXxwUpfxu+cUYIO99J\n",
       "CnN0IutR7v2EK59r/F9D8mvYLIzGA3SD95g9bwDPaIZqEKMS27Nb9QEY1etPCgapWtqT1JAn0kf/\n",
       "xrV3S2ZZ8Nrg7vhAz63SWb6B5LP5CGn07KyxbpLWL3chzN8ve7Ek9gN9y1/Q5T54C7BODKLGQcom\n",
       "iy4M98NnioA6eAJIh/hbuvtLCr4WQuI8FuBHxOyYBV6vWgadV5MHo94GPWxTcylje9+YphKSnbVz\n",
       "ZarAgG5yIrhDmWYwYo4V+h0hf8p60GDYvTpABmYy2q4EpZaF0OX1tY9xNIC7osoN2acD4FSm6seV\n",
       "ZQNVnpte8gX/pXebd2LVjVGeAml7QUfpb+CXayblw+mkyfmnjaut0K7hXlFfpzQEVrQ9lIFkEOqL\n",
       "PkPxp8MlLaJx9z3+WP81SKuerIlOJSbfH6XXCTxIUNJesmf1bRfZsQDaZksSKPwgHDAk3DX8chpt\n",
       "PQXOfBgEhNG2UZn8lOkkhw5Ltiz/AnNemv+1y+S1+OS4ysz6r9mSv1tvdP5k4W4MG7E/2VOLWYgA\n",
       "svPJTQPV/DfNW6eezmLdVvnkmfMZx354+j+2O4AMOjPX2PJ+1iQboBboeMLDDkzJEIDss/hem5Au\n",
       "aUjEVnpsoD3QhkoYHT6xSVgeMBynUjT2kVcdV0qm20l2v3/UQ648M1kDCOQgmq0lJpN6cJEXgeSy\n",
       "+9+tjQM8qU8215WS4PI0BzbDyuJXeMTdaa2GOierDcjKbFdHCDSc/LYo8AATV2i/wBzc+gUIs3QY\n",
       "F6eq44Q6QBtpv1V5XqP4uM6WvYgEaZREoJQfCo53vp81Nhsluu/S9Pd0QI6ZH+iSRFU/9dtGg4CQ\n",
       "buuh8rciERgTOrFjPCe5k3h1DSzkAPyJWsEINL+AX1muYAAzmDoqejkMAR9b3CjEfmf1iP2LZSve\n",
       "tnPiP9MLetqXYE818F5FPoZ45yQxU+jBP/n9UACytrPxB4uoRbppUFzGNtMLGlIG/K8y+qCzH9fD\n",
       "lDvYvUztBleibRPwHGpiIvJ3BnPpLo/Yzwyg1R26w/cnCbPQoZ9s3bHDmzLXDoa/chbrtJw4f4vy\n",
       "QLqqYqhEmi7oBbAAscpfOE78300aI5fx6FL5eCplWd3uKJixW5F5gggPMBXnfpvWW06N6ft8/0gv\n",
       "OM11FhWonVqUNQqYu1H5bAGffj1kIQhiECrnMz7wO9DIm++oWaN6bvxKSfyZXAStA7pbABjsBx54\n",
       "boRAm02v6ZghIgJE3ICul3AKyE+eK3uVyDNOSx4WsZuWUbPTxyc6UO/9yNL+IR8xvPJAjLOkVTba\n",
       "5sBm7buiYWcgqyDo7lx2CPHgvG23MVA9w2uC5XDDSIGcwB6eiQFNwM9SpH83LjSVaFhKHudiONir\n",
       "4btZjNN8lTW9A/WFdbG6wTvuyfRPFyJsGz4uC3kk89+HjnYfRn8SKd8rnbExw8GEoUsa7OzekNBP\n",
       "OORfytxp2DyOfT0T728iHbTbDJlCrGiMCkjoMPx3nH2rgxt9B3PKmbnCMreXxybJtkxU1tS1T17t\n",
       "ZHT7L9QKLZGVBP23B7io9PcFEt2PJZElzlCJgtpLVOcs+II3TA2iHftF592IEd1JaI+Tlqy/Ahh3\n",
       "unIZqg0fnAVEn1HLsv5wt99K9yDJuSy/j5ihTEZgq/oOvdsShbiT7zXNxRn8aZ6JAHeL+EeuWWeX\n",
       "Fao9u5T47nrMt4lyB/OP7xNmIg7djoUBQ7Ywb4rgZpkQPe6h29PM80u29v9AEACj2+JHQRCFpUFA\n",
       "wH7ZE5fOccb9Sl5RvQf0edYMNU94UE855R7T5f5Pt0dhfQkr2CLsZqJ/u+A5OdOad007skJfq4W7\n",
       "X6RurTjXl7gnbc+xrENL+zcjYM34DQkf5QBVAHzLX8Q9jw54/VeZAWNznyYL/N0jzuYHAakRY47/\n",
       "rSBsuVS1BNS246gsmQn/s0HWAsDllJAcQ6lBRgkrXEV3YpSnoCfvgz36t+FK8ceWp8vS3r7ZXXKn\n",
       "tU06L7M//JSS58GSiHkitODiaLEoER/8F8f2W+fYxiEXzH9CDS2fcx4j8YHbxZ8LjmW6BA5i/DK1\n",
       "89JmBTmDoCImbJHupb6P1/MR7+a+CCZBzypI6LzQiRwolP3lJOEc7zYupqtGcAPZQTgpDJxhVIMQ\n",
       "AGaw/YrgHqZWcSzwKwoSVaAAreGrHWaUqjP9VCRCS1xYh8iKubFTFhAmBdJ0WswMmSKHW5aZSTeW\n",
       "YOX8HVOB+K6O+LewNK5e/XPCE9t1AVSKdSopArod19NjyVuwt55lztmhz5rhK+6q0mwLCJy1eqkC\n",
       "CjhP+dJjZPPjN24wbUMCfr+/K6i3VT2KGX9jfuGXrnNvS5AsA9nZORLtMXw2SnoOOxsUdOMwP2qj\n",
       "wn2lL+dz7giJnmSiFiwVS89UdE3eCYgB7hfyAOV6m0VmNLgXkCLO2qcCZO8+VoSOkEJKXwko+0ef\n",
       "JRn9+FdXNNIGddUDwXikqTPZWEfuV7GASQxQzWTJTMZeYEVoOi9LHEP6iTDQ4bz//GAzw++WNZ8w\n",
       "Ji+Enpq7fHVcr+aZhNS4lNWce8y6z8fA2P+n5zYI1zE8Iz7wrzMtkUtBMbt82a+Z5a0g5VhurS0a\n",
       "NgxySPkMsxRRMHlsl5xajT80WOdfkuQTGmphNcuGa31Cr3TySLocrgdJV1RoWpIYal+zvNZLWsYd\n",
       "i/SGuCQ0XhteCu2WuDDBpci2dJCqz7xwWKcVut6erPoNh+Yj/LAVE9v4WLcSEmqd7gKnUOr3RgMv\n",
       "9g56SXFwTfeh/gJUkdi3hFxvJRyXUBSF/vgJ9r4cY8fYqC4oJuOAVlCLhJ+0Nqi3yNf+XnzXsDN7\n",
       "Auon2jfjV5boVXbWT+fo30mTj2nBEDsczMcX4ASSG/H8jLnJOf6nBlfEzLa5Tcdy767Gqsb9WxQq\n",
       "NtLhz43/bDbsemAgdjJTAoFYFP316pA9l/WYDjTZbbozINckGU6WX9jeglyUbZxUcacAOqS2vOYU\n",
       "3K4ARA0Xj7qFRmHFTs2iPS5qjn4hr8zPak2oBG93c1ivaNKIinFkBjY8I8zAy+BIriaPuY10teYE\n",
       "EggkGKXtOXilTwattXd51k2EvS6gmXT3ppRlsVZugp0Ou7aSWZMGgBDTdF4ff1uoPgZvyCW+Aqr3\n",
       "fE7NQj+j99n5p+34cZOZxwlyCMtyMKkX9CnXg8IIkTEDo1UpROmc9RKcCHXVp+6yXqXg19QtGuUJ\n",
       "q5ltOwKK4WvYxPvspIk91BUTKMipvVyydg1ZdCThNR+wbGexP9Q+tcW9T/voe+bgPNfc1vR8hXqA\n",
       "89OXWVjkHJzXussbSiX16oo5djMIagzf3sfc/DZvj5iR+/4V3Lai2tG3EbgXGyn1NPhm1lQULc4l\n",
       "/MQXvvYWK+FGpoJH3VgTyotog9xJlYQ+uf+qNCnT9n5eW0X/82fyzWT2f9AVQz2I8r4BsEgtqhDF\n",
       "UKs7vsgCFH3AGXa7EpTHITgFLiLXii5l8q9DTvgywwLTfxZguQlgaXsM7OH9Hnc42OO4YeQ2CIWC\n",
       "CLZg5nHT1mFLNLMBYRhlLv/VkOfqYSuAQcSV8j+2SskwPPOj1lp3602C6o0eui4gSxHk6zGo6mXZ\n",
       "QwCamkZGnWDECqsjkVz/TKHNMHa6YXSR8PqZ4J0CRs3/1NPmkXHEEbcYxOZzdrvQDoSPXRMvarLa\n",
       "w9lp46oYjytuF37dZERcl7o62NWNHn+i7FkjFzlu8WXmJ0VbvgWr8oDP9l9Aa5VUokMjQoM8aGGe\n",
       "IVxtPS79wwg4GGF8p6j/FThtU/d9iOnfE+SEKV6SuMxjkwBSVMfNvsHqvcG7DIXEzAqpTYw0jLMg\n",
       "FuhgAAADAAJwAAADAAADAAADAAAEI6ex1+xr4+KS4TIqiR8KQZvAau2jad586pV8Un4B3zpaafSY\n",
       "SrfPjA6V0ulzdFja/+pUalpm1YDOhpobXnt+IU2kvYQmWzYsozAwAouuDNh69cRH3aDZGB+E+zlN\n",
       "GOwTlQtk0j93MBa9hKrNr0XQW45/IAAAFenx/uAADdX3fACVC54JcPez/8GayMVQ1tZOQ6s/geei\n",
       "P6UuRs5WyUmmp19vnybhM66M4lSWhnC5+D+bGBMMUEhVkpX4hp8epke1nGx42eqwpsOldb5eWq63\n",
       "MiijEO3g8zEHUoyOmhFHmZ5sNzFbL8Pz/g2h3+3GFM6dJ26cRhVP1QNs9JClcitdEoQn7Q4EkAbl\n",
       "gQyIMpi4jZyn03PnXRcfigvEjfIHwnC83AFZE2sW9rRCfBMPAjPLEsxhdnv8VjFo5cBz2yGPhl51\n",
       "nq6N6Gk3+AO1gOVsq8DPdzlr6csv1R0aPdQ0XLewV308ieCHGHsAAG/PFMEcetifdZ/2ulWjcjzd\n",
       "R3rz4ihEoIqU/orNCTMxejCQz7Crj3YqD34GV1XE8YZYXxhwB8/5CPlEM3ADLaAZtvYXdMqwhbcd\n",
       "fSy7qRwKOO7ni7BFOk9LQ7JNW+eW8Zi6Oowky2QN4rtqwj867IoyBKhdxq8BvmxXeYILpdCNVyAu\n",
       "EDGGkM/eSVFNUkvsTHtLaf/jxxgP1drOOH4VAEJvwwI6OWWmdeA1HjTYavPAqVSogRCHx2zerwvt\n",
       "AWHC4NxW65ESK24gAAAZAAADAAADAAADAAADAAADAACzgQAAARtBmiJsQ3/+p4QAAAMAAAMA8q8O\n",
       "gGN7P8r7zn3kOAMGedK8xcAFH7TEc/vemApQZezL/L/FEUlgZHE0UwDPsyliES1gDdcQ27T3vFap\n",
       "1y48axHIND9ax9nBtn5/SL1FqAHu2vVHepbvTgVi+bCkEMh8xeiFrFDO8DSJ6vyHNZfUJXAgku8B\n",
       "T1Ds6gHHXsXjzox8qOg6E7oLjZwu/LxwaZLVm2ODEdNkED0MqWH9RR5M3sspODWjZAbWG/je5wVQ\n",
       "F7LCGb34cBjcSFYmzTSNp1GUrANEclK2v8+quLJiuaczCN1f3h6l3KfgSeZ9ruQoTsZK4Cr5Cuwr\n",
       "zQxUHvATQ6KvDLAH18BuMorz3fMe3Wgkj+Eu7VwIdsOlkAOuAAAAUAGeQXkK/wAAAwAAAwDJEIyw\n",
       "yUsMEqh0Dq7IFHEIAAJpNzR2BNr3nf3IAQD+Qz193a6EUKCwQnG/W6sgtwoDTzd7ynmKgr6ruiAA\n",
       "A044ADehAAABcEGaRDwhkymEN//+p4QAAAMAAAMAAAQUf7Hm0FABsehPxsEqJtMGaQsXiK9dZ2aw\n",
       "RllRGXu5HRpT03PZJokGAfzsm0yA/s5Fxg2NKGdF4+sMoc5wKDIQfjn6AJNaYQyAC40wf3gFZ/tz\n",
       "P+gh+f43/uLKQGS3v7GSMaWl/399WjDtpBRaxs6y4lZNkfP9Ixpicy2qBNs177cA1OczKiMpwfeW\n",
       "nJDOSvPF4ndVjl0pBAMMs0UKvLEGlxcf0pvPOAf/AS7V2B2lUM/1E8NFd15fdQ4JRw1z5CpsdP7p\n",
       "f0gyaArXKB5YRHtZsH20D44RN3HB81fpfj57v7Zx9gOv5X/qR5H53v17kqOcUUD2bI6jjT3gpc5/\n",
       "QqBkoHOCotEsrL6bE/w7kkKAk+Tg6gQHxSRcGEv5qTPXPeVa039QbAMgwPJ9x9bSgvGiCdkFyngY\n",
       "K6+dHFY8p87OsWhe2p980M22lUbXfeGQzX3blmAAAAMAACPgAAAAPwGeY2pCvwAAAwAAAwAAAwNV\n",
       "WPu6U8/fcQ5md1cisumlQL5kVfz/CnAC1az4/FCUWAZEA+mEA6pRAAADAAAdMQAAAGNBmmVJ4Q8m\n",
       "UwIb//6nhAAAAwAAAwAAGRtDIZ0OYu+mIEXZ45QtgGioZ1/xF8G+AAbQrWRS+i1aq932OzVTUq71\n",
       "tqCm8Zt4fTWHoBVFQiEFoLx1nTr8S/EI12K2AAADAAADA/0AAABMQZqGSeEPJlMCHf/+qZYAAAMA\n",
       "AAMAAA1QrztUVs2UQORHwEKiwOSxrqUllYig5FZ05rQrvVwKbUhydIyq7O6+fu1uAAADAAADAAAc\n",
       "cQAAAbRBmqpJ4Q8mUwIb//6nhAAAAwAAAwAArWp7k8ZkvVafgAdPyHxOrrSYTE7ywbo6t65C/OCi\n",
       "rTKF56nFoxOIpeKqqIw0frc+j6B+CIU1G/BPfxOtOGA1x6WQ191VBZK61Weo+L8lBdzX/DLc6pDR\n",
       "7Z37J8ZqH8TAiSrkoqjNmAugL48opXEuWTs2YkwCqfU24n/SHes5M6lvbt1Y0h7l0yF4bl4RWljF\n",
       "2cZcYD8gLLd5rqkUPZmXAkHaF77HpaRd1C9AhCDO6/pZSCKHJDAmM/y5eQzWOm/iRI3zAlJMr7rX\n",
       "pwhS6QiC7QUAt1sFaIP4eJ8NhyOMlrHeeddN/izxJ+0eaeXQWCZrgRrzRiz2JEw6m6CZSRsug0YA\n",
       "FuxYpPn4NhlEDw0Rmgrv1XgkrOtTLDoid1tp8m+G2xs3tiheWIxYr5OixnmlQVWBzGV8bs9nf3lE\n",
       "0T9xlvDGNXNqFhfwKhpsXNc6RIbvAiYfhSfoMAR0c0Sm6ByKHf9HUqBA1eo186IM5Vn7jW3INx8V\n",
       "Vikor/Aj8aiCw+jsbmRh8qF+022vdF4AXTwn3hTHxoQAAAMAAAMAAFtBAAAAOkGeyEURPDP/AAAD\n",
       "AAADAABLbfoZCM24v/H7JBCjFlucsrB7M8zVng7ymFGCEGE+sARzi0cAAAMAAXcAAAA1AZ7ndEK/\n",
       "AAADAAADAACGugpErFQMU3xKF81ACDZSBt+JLoYw4g/n840cGAAAAwAAAwAAs4AAAAAuAZ7pakK/\n",
       "AAADAAADAACKkoTmpSHStZ7eVn+2kdLrIJH25eYeAAADAAADAAAGpQAAAHRBmutJqEFomUwIb//+\n",
       "p4QAAAMAAAMAA7n9H0Da3EqhTui8edZSvX4HfJRYklbZItUuglzUd3jm0QJml6zzFJi/V5H3l93o\n",
       "L7x55nauzriTLex8cGLNTww68w2h3oe6GL0NStTO95BeEB3b10XgAAADAAAh4AAAAJtBmwxJ4QpS\n",
       "ZTAhv/6nhAAAAwAAAwAUbM0LwxLpcGSos+IarT7AEfIRk5PJjpfvQZKNB5LVy0/6b0rRgXf6jn4L\n",
       "UdHwjIvGF7Vd3YIU5JJTqgdoDWJsyhnxe7t43ete7wFYBO0nakTP9whN+21lVv05agyd5Bmp6gaQ\n",
       "3sv0CJ4LfS9NtK84QbvvxBJIaNf64HvqwAAAAwAAAwCggAAAAKZBmy1J4Q6JlMCG//6nhAAAAwAA\n",
       "AwAEWWnvlfGQAf0hJQsKQMdKfM2dzzFIAHudaGOBV0qH3RE7WbpOWu2doFCRedZezY2yrwSeuhzp\n",
       "n7EMcbJzOhsJqTi440M5zXWQtBWAOx9oppkAsceMvMlqNT043SenEwDgErSyVgVKF1ccH1b0qJ3V\n",
       "LY35XSZWcE0NR/JA7rrS54GSgmjBpzAAAAMAAAMAAAa1AAAAhkGbTknhDyZTAhv//qeEAAADAAAD\n",
       "ABuW65pkYxfhhkLFhmLCuLwBBkOF8YCOqqqMqJUGgk4sqvr53PHF86jfDXxRPj3Pl+m90f6r2BSl\n",
       "VwGaCSEgUPkrr9SaHJETic5AtE9TUbuPmu/PKOnrXPMRw0UVC4etx3EH9JUlWUAAAAMAAAMAACmh\n",
       "AAAAaEGbb0nhDyZTAhv//qeEAAADAAADABuY7Ao5DtpkAN/ln4I866WAV15ZsoQ+EnxR2IZuOdMe\n",
       "YcGutIsJIzXwRy/pqaGzOGWBsvKHJAjdTdQsgMP1wpg3I4dNVNXQ2Qlcg2AAAAMAAD/BAAAAj0Gb\n",
       "kEnhDyZTAhv//qeEAAADAAADABxNGMuPjIASKFM3dIQP3MCcb/4ZLDC6CQdXJCqA292IDsB+uMFY\n",
       "ZwH5E25KxPmj0LAjgbOIU2t0oM8qmoGBpydF3OgE+5V/Vn9HrzqMl/+5GAYZEqMZU4MJuz04Mkok\n",
       "hrI5hblhD6RcJkzdgkMhj89NzwAAAwAAAwH3AAAAqkGbsUnhDyZTAhv//qeEAAADAAADABxe9jS9\n",
       "Le1HhS5FkMBiKnZc7fENKn6/L3Oe1Wd6tU2SnQss65wzFJ0yYdupai8PZ37ks4K1gqPGeixZO/x0\n",
       "KlW7bqGnNdAC7ZuBIkbJXUsOuCdx6XMlCjnBiME8eiTFoAQDvEDbfzRFGMl/Gi0ClHMFj1BrcNru\n",
       "Uvot8DnIsiEKiVkuhijxeN94PIVSyyAAAAMAACggAAAAcEGb0knhDyZTAhv//qeEAAADAAADAL7C\n",
       "ShWufxuYEL4mfSgBuhh+CZ1OKfATXbuwU6Zk7IOMj9tmjnHpAmWfZ/6kfZa3tC3ogkU1qvMipXtW\n",
       "hW7Sckl0f5x7BL4G7dyxgPRoAFGQYfXQgAAAAwAAOmEAAAB+QZvzSeEPJlMCG//+p4QAAAMAAAMA\n",
       "fsaaXQt/T0JrfD716MH7KaXWgNsdtCosFOavZrjO8Cl5v8dN2blmvfg1bjfEdOgQgcpMpjSVr90B\n",
       "dwVzd14gq2u/5TH2WHCNwYW5W4XBc4clmj/xZsvUcKXrcAAAAwAAAwAAqkBLeT/AAAAAjEGaFEnh\n",
       "DyZTAhv//qeEAAADAAADAL7CgeWCW9FLVTKMB7SCxW92fbv1vTBIlrpFnp1kSH9eud8+zHBAmFXJ\n",
       "tas1WTVOS7cGssID7apBTnl69wzFccGum6IaTYfyc7NpKa4XlxrU4l8mka4AfqAim9mF1njDO3RQ\n",
       "L18kzLmc0GkgAAADAAADAAADAHzAAAAAgkGaNUnhDyZTAhv//qeEAAADAAADAIanlb5ZAoMp1EN1\n",
       "FpiuWKefd/9mYHma3Uz2gW6YzP8RPsUqRyPhfX5tKTJNonNj5N55IZsY/EffRYZGcGxQTOxlzEX/\n",
       "aj81/DiEfy0x/UkyCjzd++vJRF1zybN30sMadop+4iAAAAMAAAMACLkAAACAQZpWSeEPJlMCG//+\n",
       "p4QAAAMAAAMAvwnxtVpRDuvFD7GaW3Hpv1aLZ0Guwv4yiIjgISIi5o7FANN4MX5mr5ZDq7x8SveS\n",
       "gdu0blzX0njAI0423cvor+fA7HnjwX9COPMMRS/Q2ClA3lEGctHgArl7HFVSwAObG9PXAAADAAAD\n",
       "AUUAAABbQZp3SeEPJlMCG//+p4QAAAMAAAMAvrom1WkbUPXB9SwMrtYDaOoEu6qAFpfErHzj2ve6\n",
       "AnMeB/6v6JvMjU1l2sbbIE4ui6F/odnDiwAAK4JFmlqoAAADAAANWQAAALFBmphJ4Q8mUwIb//6n\n",
       "hAAAAwAAAwDDxckADje2IipjR1SofBPaImYtNkMqw2GjnzHfF3Nu9N26thezo2+aaG1QpHvnrpwN\n",
       "tJgtDN2/2LwLGFDR4mg4vGjQ2Yjx3Me1TbhPZv2CyAyHfbLl0O+EHlAkkg5EGxB8myO4cY1ROWnr\n",
       "eQ06MQE8uXdpIIe/gDqiO+UCi9oW79QuT+IKKaGMP20EUFzJsMdABwvxq1MaiLOzwsEAAAChQZq5\n",
       "SeEPJlMCG//+p4QAAAMAAAMAxJi7qHEACZjVebb2eZlmwRvdYq60XM7lp+9MdpEfaqV+dXWuxoo+\n",
       "7SSxVkrE7LH0K/wu15xJ0J7BwApO3DVI6Ozc1d77WcvCKRmTjDP2xmLjbor1YV+NqpP74NYqCP6R\n",
       "8vzyEs1cjWRW3UI2m8JBNzUHqSSvBKSrKORyWxuotQAAAwAAAwAAAwAAvYAAAABhQZraSeEPJlMC\n",
       "G//+p4QAAAMAAAMAxDryzkDsNRLVg0O7Cxl3HvdAAupSMgp0eySpCNyf9F3+//QNE4U9PztM3iJl\n",
       "H6yx+YGd94ujD6PQtrZ6LGDGYRp2JG2cnhdYKGlxgQAAAKlBmvtJ4Q8mUwIb//6nhAAAAwAAAwDI\n",
       "uibaZrrOeQcCnq2OSSc6CqZakqJrzt1vq45a11di+PyV7gWe6M25lwlzofU68UXnBuwi4Yk/OVnI\n",
       "4eOGNnlK6JKrm4aIrojNN6XdOtbgXwP4Ymov3vrgh8Gk1CZ9xqWTNrc0N/ImiJXSpntP4zwoNvmh\n",
       "wII2wcYlvmiaiDj4PYFXwN3HPb/AAAADAAADAAADAH3AAAAAhUGbHEnhDyZTAhv//qeEAAADAAAD\n",
       "AMkiA0KRhMWrCo5fN/cYVhdTQo/lR7Cue1AG7/GFeMjMhQ1USX6e7dKtvETkxDTFNoLTgCdReTeK\n",
       "byCXM6GIDguNBTrEV3LdhRVAWir1lb6nm8osLKJM/DrnH88hG6szxZXkNkAAAAMAAAMAAAMAf4EA\n",
       "AACRQZs9SeEPJlMCG//+p4QAAAMAAAMAfsP+ZHUuAm5xoaO2uXN2/eQTnTFLth+1o2Lvp2it6dHN\n",
       "ZhNofl+piAFJUztnFWgVQvkFJxuVtTUiuO9PCEWXcAJ95M2LzKSWZTh0Qx2UINBkoklUHnL/PYoX\n",
       "AXpUEX+tzfei9EZLIza0mTCm3v2FxSGOjf2paasehbUL3wAAAHdBm15J4Q8mUwIb//6nhAAAAwAA\n",
       "AwB5U8VNjVTXOjMI7rqXLQnGsCW1jaOqe0zhY9ebeNAjK4BRtDBXTm8vY1ljSDCjeEzwxzhq+pxg\n",
       "b9HUIXTTSWTL3DD0Enz89IBGZRKB55bmslBeABhydE9ShXEuAAADAAAIWAAAAF1Bm39J4Q8mUwId\n",
       "//6plgAAAwAAAwAP/5+X8TC5yjqCWQCMMuNMWgBrbkSy19yUlZy349VOS1HBpp7R8p1vNmdD9EtR\n",
       "BHLX3k1c/ecPczaAAmoxg0kcSAAAAwAACggAAAHbQZuDSeEPJlMCG//+p4QAAAMAAAMAIMtkDa3A\n",
       "qPcl35PlE/ADtddgwlrCvddfdeBF3VsK4dKMSIIz32bsQp8hAc2Y4tRdayDmZY4HYRVdMGehCgNS\n",
       "Vk4l7KwovNgUUMbdo+lVVQWf3gxpoRikWUdWxPS5MGBo5D1bX8utsi8re/KRrjKur5yi+eAfjqCL\n",
       "POsHuHqFLRRM+2dx7NZFl/9pJSzm7ekMhQrhK83BmCji9L35DDCx0f7ojbkRkEOhmh9u0t8PzKBg\n",
       "Q94/w5mTmIi9C2ZJND7Z4bE+kYesPxHmNGbYYo1fm0mbze/8uJStLMu/2GAKkyXQ9dtpIlPisfqS\n",
       "NFScwxjgz5ItGx25kJoCVphLmT1ClGQHaO4a953rmnPjirJoQ7ZqsWXS+DaC6jVQYA7WLcKxaicx\n",
       "k+q4Zv8kG1PeXSH2bSrhk0tIJHapy1/TXXqheIT501mhTYZenyPeHujv/oQC4jbmkYFb4VSPuYFD\n",
       "zP27Ajhz/AKluV7smNjjHLD0/48hHpFchzhZ571sTpkTpP8AmmR6msgIUj8HhQW5zGRbGCeEtpGq\n",
       "CkNTDlf0gCDdv7hdguypl/33KcsbNQ3FfBqr9h0N1PlIAASQduTbaAAAAwAAAwB/gQAAAJBBn6FF\n",
       "ETwz/wAAAwAAAwAOgRFhXCx6AC+CAfW+o2rQ0av4BEp9ulqzpLqamrImYYT6ERCGRL/7RyP1+uQa\n",
       "SzgnLr840Na31i01Ld4CaHY+TIiPbsT87XfdXVq+u/fDY48N6Bcek9J/WTjACbgeLPD+svk1x6A2\n",
       "8rNqJDhzo+w9XpGhyUgAAaShQAAAAwAANmAAAAA7AZ/AdEK/AAADAAADAGNytYmkXeAzabZkpvxG\n",
       "y8nPgrhoUAJYNxkivDVAl4qnH29AAAz0FO4AAAMAAdMAAAAyAZ/CakK/AAADAAADABrzd/XoE7Rp\n",
       "nGPoY4GoParNM9svH0+/W/eAAHo1KQAAAwAACygAAABtQZvESahBaJlMCG///qeEAAADAAADACCl\n",
       "hxBMaqd1+Bu+q0wHzSP5zgUSvfXJKxm7mF1viXyB98UQemj6YflpUFEq9TuRATltQZV97ueoApk/\n",
       "cr0Ig0zGYnymMkcZF0BRasqFBYFhQAAAAwACZwAAAHtBm+VJ4QpSZTAhv/6nhAAAAwAAAwAgpYcQ\n",
       "TTOeJYmP46PYuzxRVH3BBrkLhQLwY4xEa5QxuTLu+6afMJ0oQ/x1arngasdEub4FxWhPLuxrR2Qt\n",
       "dFcAODxwDIx1nVwAJb4lK9Rzs7j8BcStjQ7OAHuZP/p6wAAAAwAAIOEAAAB7QZoGSeEOiZTAh3/+\n",
       "qZYAAAMAAAMAER6t4uAUPsJFl84A5l0AvsnZk8NuvGF/Pcxw6TaAeaJx8+y8TkH0vg72pN5mju0M\n",
       "iAzoo22bGQQfNl/JWorxzsC6GteTayqF9k562lMLmID3ro5a6M3zIJO+/uAAAAMAAAMAAAlZAAAA\n",
       "xEGaKEnhDyZTBRE8O//+qZYAAAMAAAMAAsnxtvFWuX7loC6ldADBkqnGzVOFQfXe0VmUn+w59C9B\n",
       "MYaCkrAf8LgjECb7pDg1iBh+RaXEYQrUkdw75NSV3mhUWxyDgaYAiSerU3y8igR5dyfew/lM9MBr\n",
       "IBa+rkSNTdJVZVwmi9TZaw2r2Frtm2P8BcLMuuUFfQNhL995iXxHB/WkPR94lpoHXXox7f6ln5kA\n",
       "JqkMXau1kC8XOctUpI1m9/YAAAMAAAMAHTEAAAAwAZ5HakK/AAADAAADAAR2Qnq0V6cbCRn5Sswv\n",
       "76GkRKrZGlumAAz3qwAAAwAAAwLKAAABL0GaS0nhDyZTAh3//qmWAAADAAADAABvWK9TrW4jbATA\n",
       "YSMga2pm5EGxHs96TAvcB+cYfOooh+KhrrAdKV1GnWsoH5OzgRsMpIK7Dqflr2hUCV9yBsqULNR8\n",
       "7cSxffLpUUMQHZ7kPrUbKe3knn3SV+gQh8xVCF35u+RAq/SdYNCutDddfgeLQEbXtg/25purmjn8\n",
       "leNiTRX0TGWvQ9zVGWXP8YtyXR/+/JAuELAl51zkQse2AomqXjw9X1q28tKfDVqKFJ+fI4Irwsil\n",
       "cOiQKHK1nzkRwTYuNVQIGTWKKh69CK/HksHPpctNmV7tGmZowgCgrZoxm0WA5HhSjtSIIHh0jMR2\n",
       "AXgaxbBydcS14u2crQwdNFSPle0YS/wlGpV2gnVFss0YAAADAAADAAARcAAAAENBnmlFETwv/wAA\n",
       "AwAAAwAAgm/aS9KAQAmSy+u1rq2vSnuyY/MsLzys3Q0Da/AUo4Hl3x9BubE5gBNOSAAAAwAAAwLL\n",
       "AAAAMAGeimpCvwAAAwAAAwAEdkbD/1DzjjtRMvhWeyaFhc72n3zxEAIe+gAAAwAAAwD0gAAAAW5B\n",
       "mo5JqEFomUwIb//+p4QAAAMAAAMAACPUlpU9RCf14YHF+J2NF5Gaz71oGFoA9hF9m3Rseu1uzBFE\n",
       "aLXi8fszRW6SrVhehqO2kKn6fnDA45864tGEl/nmHshvL98v6WYjWOZRgx/CjAuvYBqg8jzPghkH\n",
       "MajLJ/+FHvdG3f6okHcpn3UTvLwWwt7YET8aCLTpQ6jqpSBBtoLlrziSntRTaNJDV3ihQtKGzpEI\n",
       "rT8M8OUcvcWpp7ukiJn3It1kGbe7+G+KZIwVsZSWN2DyOO8uD3Iu1G3asvcSdiR3Dvf3KkvSUbAb\n",
       "E+W38NXEoMJ9G63D6X3vfSJw14ujc+24rF9v2UQ5b16t0IZA/se6QHB3keLiyl99aPeFHUiboW/N\n",
       "qkJc/RRH/55cOC37UzmTWXH+jxDpKuOoyhjG9WWOK9GQmzevQe2V6MBW+so7HAo7H/r1TJccgwO8\n",
       "d7rvytnHThe+/lKyhYAAAAMAAAMAyoAAAABGQZ6sRREsL/8AAAMAAAMAAEVgS0bcJd1YfGGRAAtU\n",
       "0/ocjJ68nFu2szQv3LEBlMmocuaPRDaZf2ImaeMGfGgnAAADAADpgQAAADUBns1qQr8AAAMAAAMA\n",
       "AFir/H/ocD1+T+S5kBJhGH2vWIhLh938qP4KZjIBV4PCgAAAAwB0wQAAAHVBms9JqEFsmUwIb//+\n",
       "p4QAAAMAAAMAANzaMBBSAg+ZqpRibaKGwxFjBiKWBLd4uG0QiKKN+DETCTb/G7rY8/NT3uCb8N8X\n",
       "5HoBezhbqaLbarBM0pFNfg3zBDnPyBH1tbcOzyrvLXnXUxRDN8AAAAMAAAMANmEAAACCQZrwSeEK\n",
       "UmUwId/+qZYAAAMAAAMAAG8xtYQL70SjyjeLQfQT7MB2IR9DUtX02UU1Q9fsTgyZEaiYm/D/fGaE\n",
       "NlQ9QXmcqUWgVtqVPsCZmXteoAo/f82sa/Pl14RdsJbWys4+I9OXWWWfEklB0IIupYyJGpTizKVo\n",
       "f2AAAAMAAAMBZQAAAOhBmxNJ4Q6JlMCG//6nhAAAAwAAAwAA3ML0ATY0N1hlrMXKm/EY1e4HhmAh\n",
       "ieCjN8nu0IN3CGM8hxNUdl9BhsP59E58MWqmUOYIEE3kk/0UOssep5qGhK8k0SByRYMTg4mPSQpY\n",
       "Uf4S5Jdr4A8RypGyd4CM92zQfvfiC/U+vsY+JmzxWJU707+rznZvvHTu3PePhU+6d5aX0rncQmWY\n",
       "pAQ31J59RNbrt8eaxvnfBbylPs8BjZyiK9n8KZBw72ujT/afZ9/I8C0F4WbZlQU3I4kqsnvusgYZ\n",
       "M/iOEx3POLWkAAADAAADAAeMAAAAS0GfMUURPC//AAADAAADAABFYEi7voxh5C6SeG1YRd1ElfKi\n",
       "ZI0tABaHhOU7MC1eKLZiUosYTz9vIb+uP2gVNdBcTiRzuAAAAwAHTQAAAEQBn1JqQr8AAAMAAAMA\n",
       "AAMAujQpiMrmwMB64ppp0VAB/nbWTXsSI2NK2PSoij3vEVPr19/9t2wvvZDTKMlzwAAAAwBGwAAA\n",
       "AONBm1VJqEFomUwU8N/+p4QAAAMAAAMAAAMA4v80b9QSVEsp5o2k+LzNJFG6n1eMXT64ZJ/jH+dR\n",
       "X0ZsxnxpLfDUoAf0Gn+BjgUYpofIX4uyovT/S0BSgysjloviOuE0sgWXGmUS269eMnYoVgim7bKk\n",
       "EWOIrguzZj0t/z/2Tnz2ey9XWqXbcHB8hn1ZMc4WccM+disMj6eJ9h7eOdkN5PLBwWbTjF3wlK5P\n",
       "p4z4jt8miB9RNEsC55g3iffKoWUc1BFsb9ebUttEsCG5kR5qBhcvmwbgEuluOxSZogAAAwAAAwAC\n",
       "NgAAADwBn3RqQr8AAAMAAAMAAAMAtcn0k4akKeEo6ABt6bW55I3ogfmP5ZBXZKq6kzc3xy7UtkYZ\n",
       "THAAAAMAE7EAAABfQZt2SeEKUmUwIb/+p4QAAAMAAAMAAAMA4m/L8DUngqVqgiUkTeuVwyibEoyp\n",
       "mjrkk4rokWJxvq+kdKG7eoag4erT+Rlf9muV6uztgsVkHQ5gOj6pnc0jAAADAAADAXcAAABvQZuX\n",
       "SeEOiZTAhv/+p4QAAAMAAAMAAAMABaoXw+MFr//AmDYeCxS1pYwUAzRjfni/Iaui6O6vI9+T7B3K\n",
       "nlUz0+7PKW3Zj636+SCas1e5PDSkMkLJsP9mMQd+aQHA9jGzw3F0+KNYAAADAAADAEfBAAAAdkGb\n",
       "uEnhDyZTAhv//qeEAAADAAADAAADAAWxG4eIBSwtLEg2Ehdm3ivr00fJCg6IAGTu43MzybsLnXOn\n",
       "t+z6KRGpAbSAJf9hNCr2EZggHY5N048lUkQhaIe60Fn+xn+WBXm04Ji73cKyJC/TejCyAAADAAAD\n",
       "AbcAAAB3QZvZSeEPJlMCG//+p4QAAAMAAAMAAAMABbElJcQUDgR93AzwdhOlbEx8ynpC0KcJGylx\n",
       "TMZteRFX6MX1SPOAa8bTVbd2RL6OURxB5i/NSYmd24E3xMwERSKQsL5YAc29noD8smyv6tuew59e\n",
       "Nzj6SWecUJNfqYgAAADAQZv7SeEPJlMFETw3//6nhAAAAwAAAwAAAwAA4hL+hCX2F8TMf0SfviuE\n",
       "fK0XRc8KH6vphUgQRz95OjFbTo69thgVEysQi4bXeWtXgQns+x7XTce/85Yt9bsXfvI/GV7h+zBP\n",
       "GjyRQPhUOD0CvsqK258ovmX84TnFrPZWuHNdcR8/EF4yDiKziyyrZSsWkHrLV5YMo0oisgtW7mH1\n",
       "YvxMLoHkpyLFb1Mhx3LoyRPXqZefn1EUml/LcrIg198w15GBAAAAPQGeGmpCvwAAAwAAAwAAX3tj\n",
       "mA+HTPJcvr9nITh2+/0OGEAISw3PoyOsZsGqdwYW5gLJLltXngAAAwAAXEAAAABuQZocSeEPJlMC\n",
       "G//+p4QAAAMAAAMAAAMAACLJ1DhxDDG5AEN8NxhYwAxIXdgE6gB6E/7wi6qhNpJQ5YKSSgHIH1zl\n",
       "VKdYzTxPMFeTI6/ElpNaUFljUzYMVWTBsLItRqWHa3CyaUZco9Z7OKprtSkAAACsQZo9SeEPJlMC\n",
       "G//+p4QAAAMAAAMAAAMAACKcxfDIOlagUiUYQzK+kvYCIT4F7qRI4KHAXJcIrR73AVXP3ngCJR2r\n",
       "2FOUDqOEElIr/EXlHz0WSE86oEyr5Hd1GHMsPZ9DitxLt+PUsY2tFQ+pGnifx1Fzu63I62q8sWF7\n",
       "Ezu4ePkvc5DeHip2TGTmSGo9/547JeB3yD/rgdzzazUZ/JOYmYOS2GWAAAADAABgQQAAAFNBml5J\n",
       "4Q8mUwIb//6nhAAAAwAAAwAAAwAAIaRqoj27TcJ82k1Y0EVfaJT/IoyYVsT0fmxF6q6cFNYJPmcR\n",
       "UgFd0qrxIxCuRj5xZ7fNgAAAAwAZUAAAAGlBmn9J4Q8mUwId//6plgAAAwAAAwAAAwAAAwK4oOfi\n",
       "fPJSrgAdmiGEqpPEJ0GMCDZWd64uqVxFvL9os8IqkWkbBdy2LXUTyaFW8qNijTE3/5o3kQZ9ON7T\n",
       "p1E/RcVBIdq27AAAAwAAy4AAAADzQZqBSeEPJlMFETw7//6plgAAAwAAAwAAAwAAAwK3RmCSmjji\n",
       "5HNB/rwDPS0Pi/4PEh/VgazQyrHDVSjq1DhMJOLWmSNRDC+BgRhYzX16lRm1ZlTE8TRb56r+9LE8\n",
       "vxlrImX/5EhbJd0ykFR3/MVAzKwSyRz4S9aboatboxkYE5fjosq7dZiHkivfDPqSQeyKcC9zd+vz\n",
       "AYe3oXw8frZbubcVGWXTsB/x21sW3T52pyAbZENKiVzL6vbi7IgD0g8ep9G4OBlKnusJ3T+ci2S4\n",
       "doEpG8iwiapRQ5KdBmdCikOgX5DsCniH3gBFmNFQzhPDSG0ZAAAAPQGeoGpCvwAAAwAAAwAAX3tj\n",
       "mAJ8JuWOfl9/uxi+O19nlg5oDzluVjwv8MABOwZaHk+TsLrerQAAAwAAEXAAAAEeQZqkSeEPJlMC\n",
       "G//+p4QAAAMAAAMAAAMAAAMCHdNuoU9zcZMPoIZiAwLrlF2q876+0pCXTPQbWV+2TQfuuncTRwBw\n",
       "r7y30/fOC9hBuXsNb8okOkxKbx86LKoQ5veWgBTnmN9olqHK1XIzhjYEwH+fIgig5KWwWpXoiiv2\n",
       "8+GIF3U0x+xUIu8inW8MHWS+mI/V45hmECYJ0OEa2re3iVYv5fwJrnEYIAbIU4d1U4kUjxEi4NHJ\n",
       "ZqzE4Jo9vyMAjmGE7rjK3xF6G+3rfUuBa3N18LXdOcB2fGEpx09X6p7uIz+iK3xWEmQJDixcmLUO\n",
       "kZTlOpLNlRF6McQ3iLoqzd2uvUEmDUI8BxdUEHX9Qa/3NVz8e8XdIJ920AAAAwCkgQAAAEJBnsJF\n",
       "ETwv/wAAAwAAAwAARWBItAE+Gpup+IRYxirbKrd0XyTkOXUN1tlaYPm2Q4B8iTwE7Iqhz+qhSAAA\n",
       "AwAAoIAAAAA6AZ7jakK/AAADAAADAAADAAADAKynxEJwwWZZoufpfvihCPzvVFACG8J1LaHR+xbr\n",
       "jc00XAAAAwArYQAAAHJBmuVJqEFomUwIb//+p4QAAAMAAAMAAAMAAAMAzgCjJurw/50ACIPQ3JFe\n",
       "hdaJAHQwXyTr37GB1mMelm244J2Boc0g8dINqKVT8v8RhTCkKfJGqTru4KHm2rnPpjfu2lVxPVFG\n",
       "c6Y1dVwjQmmAAAADAb8AAACcQZsGSeEKUmUwIb/+p4QAAAMAAAMAAAMAAAMAzaS28RNICtfgEC3m\n",
       "cpVeXfPg2o7AonfCa5JYvTP+Qgpelpc1Xy/Xk09sPFHBnAIR7ff3Kb6Zt6xqNwkk6XiQluJ6+DpU\n",
       "dqJFwaF0HG9aBJEtGUtHcufXDna1ry7pxBNVvx0hYuXSCxgepAsl0lE4l3FIKLm/julzjl7EAb2y\n",
       "HnIHAAAAe0GbJ0nhDomUwIb//qeEAAADAAADAAADAAADAM4KBu6s5QFP4/R2oFTN6tnzG0w1p9Eh\n",
       "3frYDrO4Cy1fS38EARq3fAkf3RrTlGvEFDi1EzS/bgeCLAdBWh8un8jzimGogCL/72kQOFUFMrWl\n",
       "mk1WI2fww3o7IIAAAAMDfwAAAHpBm0hJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwDJT1xtQPuoDwfM\n",
       "VWKXILSxgrkonHe2mzzikpocZ41dg7p9AS5d0C3kQmoXIes4fyKyV/CZAdr64WegRk8I0LpqrDBu\n",
       "h/YA/PwxIviSZ87a9BvS8j4xwGHDzwAAAwAEXAAAAHZBm2lJ4Q8mUwIb//6nhAAAAwAAAwAAAwAA\n",
       "AwAfCUNHrujwF+wn9HxlRZkK+YyPtpYcTPmr/kViDtl4G8OQ0ATEPgKYNODeptg2XAZFhDbwSrWB\n",
       "vKFDj6ZvMANqxmQxUdmnNqzemt7a3/HPGvN3/v7YJVcN92PGAAAAVkGbiknhDyZTAhv//qeEAAAD\n",
       "AAADAAADAAADAB8NK1tfgBjxtZnjGtXTce7tXPocVTYpB2HqOaIC7f+UNFO/+SiskOwgq/lVJofz\n",
       "ERnX/cHdYIAAAAQ9AAAAYEGbq0nhDyZTAhv//qeEAAADAAADAAADAAADAB5MTp/K2t2MkAHwXhpe\n",
       "6V8RtDya3/azABBFYpFLo+sxSbUJWJWi9CdkOVzok8ezokKH9B4bWdiKDefT+4z81QAAAwAJGAAA\n",
       "AJdBm8xJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwBNSpxbxC5KLfqhNE9zUEXRQHWM70o9tImsR5LF\n",
       "5pZNX+rs19usL7+G+VUXGamYVq/QHW/lPpZcr9erAsoX3o8LBwyi3SKgg6786vNVMsVGoCf5wXPO\n",
       "s6KZo/xDGO0deCd7NC2IsAJO+C3uZu15g7LDt2xftB7wAAADANmAAAAAVEGb7UnhDyZTAhv//qeE\n",
       "AAADAAADAAADAAADAL//R9C+TFmlZjvtFhW+joSjmVd0pf4uvLU0CN1Gw2MkPvIMeOSv22WMfeHq\n",
       "iz5Lcy9L2AAAAwAV8QAAAI5Bmg5J4Q8mUwIb//6nhAAAAwAAAwAAAwAAAwC+xckBUe8zle9x8shE\n",
       "8T5EsCiTppomW/h+YwRP8xyaPjw0yu1dp8zZjDlzIjzd8LFk1kkoUl/fTN6rfd8eriVjUk/ew19v\n",
       "rLQfKilD4yXu7XiXQUmZ8QyqB/lnmOYfOXCEt6Xcn6VTiqEEhL1In4AAACBhAAAAlUGaL0nhDyZT\n",
       "Ahv//qeEAAADAAADAAADAAADAL/5MRBzAs34k+FLsefZPvFM8HqUUb+PRoVWiTKHdPxasT4GQ1/l\n",
       "UmM9bAX0YdUsEISSBTKLJogxkviKJvcGDs8rx4xFSW3n/scIYP2ZVKdEaeKZHLWRph8EUVu0idDj\n",
       "fOW5PdadfVsBEQFezDUFTwAKA3+YAAADAAbNAAAAgkGaUEnhDyZTAhv//qeEAAADAAADAAADAAAD\n",
       "ALop80/5rr4EKjQALCiBQfmTPtS4cWsv9ddJm6FawKjTELY8yKCREKjwGyeLzSLmJZ5ZyvCPuGap\n",
       "Jyiii9Mv5pRYPpe6KNJBzebPQWfJYwniTNaOjsFlcbOuEKc8tAXQK491MkTlqz4AAACHQZpxSeEP\n",
       "JlMCG//+p4QAAAMAAAMAAAMAAAMAucLqnWP3kgP49C6V6sWydbbXp9qe4tIRPQC//y1lfekIYxWA\n",
       "Lieg7tdlo9V2LZQZE4ccD1elIcqEjXlKndX4VCNRhKwRnPfown6gNu6u50EGpiM7FqPGmy2xbHCv\n",
       "Fg5UqzayinoAAAMAAJOAAAAATEGakknhDyZTAhv//qeEAAADAAADAAADAAADALntyQB6ofLcyKAl\n",
       "ZMQCtdV/aMmIWl48pXxpbaCIHkkBl3Tpthxe/9oXWWgAAAMAUkEAAAEOQZq0SeEPJlMFETw3//6n\n",
       "hAAAAwAAAwAAAwAABFTIK4ArVaD2ijBuBF6deoiCG+/5faoJjf8WMWZaooYcT7M0wIS57x21jVn0\n",
       "aYoylKEElgh4iWTlGOD3rfQrqig+o50gob/Tnhrx9K5Qdlz1lkUdsPzns7d9v98rUv58v6BI5New\n",
       "s2SOQJYNAdcdAS7hkTGmuRJWEvfSWsetJhBf9UDTGn4p5Ur6QLJjsZ+fv/sfZ+3QTMzjtiRCRqIf\n",
       "h7/AXy5Mixb811c7V3U6UqxE/8C1TF+RBWbzLrT9bR6j8iPRN1Vo8acbLzOCvlJHOYhcMSHdl9VX\n",
       "tHCyazPSU5wUP+gYAScGsYj2K+SnIfo/gBbQAAAAMgGe02pCvwAAAwAAAwAAX3tjmAJ8JuFc9z1H\n",
       "bXLxcrsqbOPsX/x2/OeR9sagAAADABoQAAAAd0Ga1UnhDyZTAhv//qeEAAADAAADAAADAAAEWWn0\n",
       "xcoP8n6dDxAsDYAK1llQDGORCPC4fMAY75SAEPMBjEP0dyHC3yuQULLKlRBDBkbTUe1miMs3CGcD\n",
       "D8GeVAL9gpCpRQ1i2rEmcXBJJb++b9XsbpkoAAADAANvAAAAhUGa9knhDyZTAhv//qeEAAADAAAD\n",
       "AAADAAAEVkXhD7MW7gAE6OCVt0IuziMr8ms4klcOcAb5kbn41AJgBhveAfDqd4NiSAzEG+A70Ujt\n",
       "jj+Kll95zNf73pnH10UZz4S3+80B1FGShVNEhK2JfNvrjSNpQjustMMd1s6fn2D1mwDY+xJ0h0AA\n",
       "AABPQZsXSeEPJlMCG//+p4QAAAMAAAMAAAMAAARWIp6DBy4A5jAsO6NIvWZ+fmrW17lDwF0bGH4s\n",
       "RkNppC623T6EumUQssi/P1OSQAAAAwAsoQAAAGhBmzhJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAGxEw\n",
       "WhxkKS0BdjkACoAdJbtoSFv8LaaCViViaTD4x4pVDuac78cSX67Oh8eEDbJBJI6KUCYlaaRsk/cP\n",
       "TjjhG5FsIV7ngVix+Cn7/aBrQQAAAHdBm1lJ4Q8mUwIb//6nhAAAAwAAAwAAAwAAGxEwWhxkKS0n\n",
       "7oFEMywAMfP/5P0fL8PuseRHYvcZQ5fsxk0XJJ7n6vWQcazSe5eLpsrNXkEmby1lcXkmSTQd7Jz3\n",
       "0uw/g0n4aW0lKM0/JCrz3nnZmd3CX0NxyRgP8AAAAGNBm3pJ4Q8mUwIb//6nhAAAAwAAAwAAAwAA\n",
       "GwAsqJMUCWkAG8ge5TUpcUizTK+AiO6kytiTbp6bYa3ekKFTMK3OvmcqJDH57w5ddiNBYiHAeoMd\n",
       "QzOURucNzrITo8AAAAMABx0AAACHQZubSeEPJlMCG//+p4QAAAMAAAMAAAMAAKyCu5AyfeZyvfAN\n",
       "sUBV4mByBRGdaIHYp497ONX07GHiTbHzRQ/fEYZ9ay/qkjoRzc450GBl2JukDqa2qCXPn3cCr5ZJ\n",
       "PejEnxNeveJOwZeJjNUHRZIYQ9EM0hnnJF1I4KDzepR8arSa5T/fjQNuAAAAZ0GbvEnhDyZTAhv/\n",
       "/qeEAAADAAADAAADAACsgYsnveZyfGL8Vc6Q/9H9x0JHElugV2BJegLwA0PF6OhwGDTZ+5VkX9uN\n",
       "96jv7b5PtZy0EhpZayP7CDVceZ3Bjc3fr1N5gAAAAwAA8IEAAABTQZvdSeEPJlMCG//+p4QAAAMA\n",
       "AAMAAAMAAKx7UEVhivJIAL1wxG9w046Bn1BDrFxznQNNIYr+PGk0mCXUwXKJPBJhJuy9rJsI2T8/\n",
       "8AAAAwAAf4EAAABvQZv/SeEPJlMFETw3//6nhAAAAwAAAwAAAwAEGWnJZFqAUu9+zykABtM6grYj\n",
       "zFQ9vj+/SvVqZKtPQSGwlNQTsS4zZUnP1CiY8AROURM5emKXeVcQ1LC0IooMn2nMEEobE3lQa55X\n",
       "5gAAAwAAAwJuAAAAMQGeHmpCvwAAAwAAAwAAX3tjmEkeizczN3yrjaeMOwlgjJ5cwkXhjFd+VgAA\n",
       "AwAABDwAAABLQZoASeEPJlMCGf/+nhAAAAMAAAMAAAMAD93P0KiigmABCDHSpXITuojl0592J9/P\n",
       "794SG5n3GejRVj/mutOk873VcsAAAAMAAFfBAAAASEGaIUnhDyZTAhn//p4QAAADAAADAAADAGdE\n",
       "v/4bFc+KQZJwmiC9qcAFuHjMJHkmKBuG5QwZYlSwhhyv6NL9NZjXv/5/620DmgAAAHVBmkJJ4Q8m\n",
       "UwIZ//6eEAAAAwAAAwAAAwBnGEf/NGuADhitQen9BdVc2reM4z+2ff54VW1E/E8EMPkGUCVsTUPm\n",
       "Wky2GI6e1jHWpHrJMD1sj4y2Dvw0Ytc8sWB7N2brg3TDrkFzQeoF/LUgA90tQAAAAwAABV0AAACB\n",
       "QZpjSeEPJlMCFf/+OEAAAAMAAAMAAAnqMiNiAG5qEnHjt2IXt2ySqhNz1m4x7PIM9v3u2d5rG84B\n",
       "0kyOFoIZktR198+qBaVK4p/sLlZZsd4Wt8G0bqsZPQduDN8rKLuPHfYzttJvWiW3Er+sexJQeUnn\n",
       "xFT4+N/Dt8Kwr0TzAwI+AAAGEG1vb3YAAABsbXZoZAAAAAAAAAAAAAAAAAAAA+gAABOIAAEAAAEA\n",
       "AAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAA\n",
       "AAAAAAAAAAAAAAAAAAAAAAIAAAU6dHJhawAAAFx0a2hkAAAAAwAAAAAAAAAAAAAAAQAAAAAAABOI\n",
       "AAAAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAQAAAAASAAAAC\n",
       "iAAAAAAAJGVkdHMAAAAcZWxzdAAAAAAAAAABAAATiAAABAAAAQAAAAAEsm1kaWEAAAAgbWRoZAAA\n",
       "AAAAAAAAAAAAAAAAKAAAAMgAVcQAAAAAAC1oZGxyAAAAAAAAAAB2aWRlAAAAAAAAAAAAAAAAVmlk\n",
       "ZW9IYW5kbGVyAAAABF1taW5mAAAAFHZtaGQAAAABAAAAAAAAAAAAAAAkZGluZgAAABxkcmVmAAAA\n",
       "AAAAAAEAAAAMdXJsIAAAAAEAAAQdc3RibAAAALVzdHNkAAAAAAAAAAEAAAClYXZjMQAAAAAAAAAB\n",
       "AAAAAAAAAAAAAAAAAAAAAASAAogASAAAAEgAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
       "AAAAAAAAAAAAABj//wAAADNhdmNDAWQAH//hABpnZAAfrNlASAU/lhAAAAMAEAAAAwKA8YMZYAEA\n",
       "Bmjr48siwAAAABx1dWlka2hA8l8kT8W6OaUbzwMj8wAAAAAAAAAYc3R0cwAAAAAAAAABAAAAZAAA\n",
       "AgAAAAAUc3RzcwAAAAAAAAABAAAAAQAAAWBjdHRzAAAAAAAAACoAAAABAAAEAAAAAAEAAAYAAAAA\n",
       "AQAAAgAAAAABAAAGAAAAAAEAAAIAAAAAAgAABAAAAAABAAAKAAAAAAEAAAQAAAAAAQAAAAAAAAAB\n",
       "AAACAAAAABUAAAQAAAAAAQAACgAAAAABAAAEAAAAAAEAAAAAAAAAAQAAAgAAAAADAAAEAAAAAAEA\n",
       "AAYAAAAAAQAAAgAAAAABAAAIAAAAAAIAAAIAAAAAAQAACAAAAAACAAACAAAAAAIAAAQAAAAAAQAA\n",
       "CAAAAAACAAACAAAAAAEAAAYAAAAAAQAAAgAAAAAEAAAEAAAAAAEAAAYAAAAAAQAAAgAAAAAEAAAE\n",
       "AAAAAAEAAAYAAAAAAQAAAgAAAAABAAAIAAAAAAIAAAIAAAAADgAABAAAAAABAAAGAAAAAAEAAAIA\n",
       "AAAACQAABAAAAAABAAAGAAAAAAEAAAIAAAAABAAABAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAAGQA\n",
       "AAABAAABpHN0c3oAAAAAAAAAAAAAAGQAABrnAAABHwAAAFQAAAF0AAAAQwAAAGcAAABQAAABuAAA\n",
       "AD4AAAA5AAAAMgAAAHgAAACfAAAAqgAAAIoAAABsAAAAkwAAAK4AAAB0AAAAggAAAJAAAACGAAAA\n",
       "hAAAAF8AAAC1AAAApQAAAGUAAACtAAAAiQAAAJUAAAB7AAAAYQAAAd8AAACUAAAAPwAAADYAAABx\n",
       "AAAAfwAAAH8AAADIAAAANAAAATMAAABHAAAANAAAAXIAAABKAAAAOQAAAHkAAACGAAAA7AAAAE8A\n",
       "AABIAAAA5wAAAEAAAABjAAAAcwAAAHoAAAB7AAAAxAAAAEEAAAByAAAAsAAAAFcAAABtAAAA9wAA\n",
       "AEEAAAEiAAAARgAAAD4AAAB2AAAAoAAAAH8AAAB+AAAAegAAAFoAAABkAAAAmwAAAFgAAACSAAAA\n",
       "mQAAAIYAAACLAAAAUAAAARIAAAA2AAAAewAAAIkAAABTAAAAbAAAAHsAAABnAAAAiwAAAGsAAABX\n",
       "AAAAcwAAADUAAABPAAAATAAAAHkAAACFAAAAFHN0Y28AAAAAAAAAAQAAACwAAABidWR0YQAAAFpt\n",
       "ZXRhAAAAAAAAACFoZGxyAAAAAAAAAABtZGlyYXBwbAAAAAAAAAAAAAAAAC1pbHN0AAAAJal0b28A\n",
       "AAAdZGF0YQAAAAEAAAAATGF2ZjU4LjIwLjEwMA==\n",
       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "from pylab import rcParams\n",
    "rcParams['figure.figsize'] = 16, 9\n",
    "\n",
    "fig, ax = plt.subplots(1,1)\n",
    "plt.axis('equal')\n",
    "\n",
    "ax.set_xlim([0, 2*np.pi])\n",
    "ax.set_ylim([-2.5, 2.5])\n",
    "\n",
    "# sine function plot\n",
    "x = np.linspace(0, 2*np.pi, 100)\n",
    "y = np.sin(x)\n",
    "\n",
    "# x axis path\n",
    "ax.plot(3*x - 3, 0*y, linewidth=1, color='#dddddd')\n",
    "# y axis path\n",
    "ax.plot(0*x, 2.5*y, linewidth=1, color='#dddddd')\n",
    "\n",
    "# unit circle path\n",
    "ax.plot(np.cos(x), np.sin(x), linewidth=1)\n",
    "# sine path\n",
    "ax.plot(x + 1, np.sin(x), linewidth=1)\n",
    "\n",
    "\n",
    "# ------ anim -------\n",
    "sineLine, = ax.plot([], [], linewidth=4)\n",
    "sineDot, = ax.plot([], [], 'o', color='#ff0000')\n",
    "\n",
    "circleLine, = ax.plot([], [],linewidth=4)\n",
    "circleDot, = ax.plot([], [], 'o', color='black')\n",
    "\n",
    "def sineAnim(i):\n",
    "    # sine anim\n",
    "    sineLine.set_data(x[:i] + 1,y[:i])\n",
    "    sineDot.set_data(x[i] + 1, y[i])\n",
    "    # circle anim\n",
    "    circleLine.set_data(np.cos(x[:i]), np.sin(x[:i]))\n",
    "    circleDot.set_data(np.cos(x[i]), np.sin(x[i]))\n",
    "\n",
    "anim = animation.FuncAnimation(fig, sineAnim, frames=len(x), interval=50)\n",
    "# -------------\n",
    "\n",
    "anim.save('sine-py-effect.mp4', writer='ffmpeg')\n",
    "\n",
    "# plt.show()\n",
    "# HTML(anim.to_html5_video())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
